Q: What are the factor combinations of the number 942,095?

 A:
Positive:   1 x 9420955 x 1884197 x 13458511 x 8564535 x 2691755 x 1712977 x 12235385 x 2447
Negative: -1 x -942095-5 x -188419-7 x -134585-11 x -85645-35 x -26917-55 x -17129-77 x -12235-385 x -2447


How do I find the factor combinations of the number 942,095?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 942,095, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 942,095
-1 -942,095

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 942,095.

Example:
1 x 942,095 = 942,095
and
-1 x -942,095 = 942,095
Notice both answers equal 942,095

With that explanation out of the way, let's continue. Next, we take the number 942,095 and divide it by 2:

942,095 ÷ 2 = 471,047.5

If the quotient is a whole number, then 2 and 471,047.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 942,095
-1 -942,095

Now, we try dividing 942,095 by 3:

942,095 ÷ 3 = 314,031.6667

If the quotient is a whole number, then 3 and 314,031.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 942,095
-1 -942,095

Let's try dividing by 4:

942,095 ÷ 4 = 235,523.75

If the quotient is a whole number, then 4 and 235,523.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 942,095
-1 942,095
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

157113555773852,44712,23517,12926,91785,645134,585188,419942,095
-1-5-7-11-35-55-77-385-2,447-12,235-17,129-26,917-85,645-134,585-188,419-942,095

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